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Simplifying 29w + 50 = 47w + -76 Reorder the terms: 50 + 29w = 47w + -76 Reorder the terms: 50 + 29w = -76 + 47w Solving 50 + 29w = -76 + 47w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-47w' to each side of the equation. 50 + 29w + -47w = -76 + 47w + -47w Combine like terms: 29w + -47w = -18w 50 + -18w = -76 + 47w + -47w Combine like terms: 47w + -47w = 0 50 + -18w = -76 + 0 50 + -18w = -76 Add '-50' to each side of the equation. 50 + -50 + -18w = -76 + -50 Combine like terms: 50 + -50 = 0 0 + -18w = -76 + -50 -18w = -76 + -50 Combine like terms: -76 + -50 = -126 -18w = -126 Divide each side by '-18'. w = 7 Simplifying w = 7
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